Finding the Third Proportional to 658,142,271,204 and 1,334,790,004,378.50
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Solution
The third proportional to 658,142,271,204 and 1,334,790,004,378.50 is: 2,707,111,264,148.70
Step by Step Solution
- Step 1: Write the proportion equation
658,142,271,204 : 1,334,790,004,378.50 = 1,334,790,004,378.50 : x - Step 2: Convert to fraction form
658,142,271,204/1,334,790,004,378.50 = 1,334,790,004,378.50/x - Step 3: Cross multiply
658,142,271,204x = 1,334,790,004,378.50 × 1,334,790,004,378.50 - Step 4: Simplify right side
658,142,271,204x = 1,781,664,355,788,756,084,588,544 - Step 5: Solve for x
x = 1,781,664,355,788,756,084,588,544/658,142,271,204 - Step 6: Final answer
x = 2,707,111,264,148.70
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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.